January 2016
Intermediate to advanced
300 pages
6h 54m
English
book
Fluctuation Mechanism and Control on System Instantaneous Availability
by Yi Yang, Yong-Li Yu, Li-Chao Wang
Content preview from Fluctuation Mechanism and Control on System Instantaneous Availability
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Discrete-Time System under General Probability Distribution ◾ 55
erefore, P
0
(k, j) stands for the probability that system has been in 0 status
for j time at the time of k; P
1
(k, j) stands for the probability that system has
been in 1 status for j time at the time of k; and P
2
(k, j) stands for the prob-
ability that system has been in 2 status for j time at the time of k, i.e., when
j = 0, 1, …, k − 1,
{}
{}
{}
()
()
()
()
()
()
()
()
()
()
()
()
() () ()
() () ()
() () ()
=
== −=
−− =
=
== −=
−− =
=
== −=
−− =
===
===
===
…
…
…
,
0
11
,
1
12
,
2
10
,0
0
,0
1
,0
2
0
1
2
0
1
2
PkjP
Zk Zk j
Zk j
PkjP
Zk Zk j
Zk j
PkjP
Zk Zk j
Zk j
PkkPZk Z
PkkPZk Z
PkkPZk Z
when j = k and k < j,
P
0
(k, j) = 0, P
1
(k, j) = 0, P
2
(k, j) = 0.
e mathematical model of the repa ...
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